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Finding the Fourth Proportional to 629.09, 942.40 and 542.42

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Solution

The fourth proportional to 629.09, 942.40 and 542.42 is: 812.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.09 : 942.40 = 542.42 : x
  2. Step 2: Convert to fraction form
    629.09/942.40 = 542.42/x
  3. Step 3: Cross multiply
    629.09x = 942.40 × 542.42
  4. Step 4: Simplify right side
    629.09x = 511,176.61
  5. Step 5: Solve for x
    x = 511,176.61/629.09
  6. Step 6: Final answer
    x = 812.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.